First slide

Collisions

Question

Two solid rubber balls A and B having masses 200 and 400 gm respectively are moving in opposite directions with velocity of A equal to 0.3 m/s. After collision the two balls come to rest, then the velocity of B is

Moderate

A

0.15 m/sec
B

1.5 m/sec
C

– 0.15 m/sec
D

None of the above

Solution

Initial linear momentum of system = $m_{A} {\vec{v}}_{A} + m_{B} {\vec{v}}_{B}$
= 0.2 × 0.3 + 0.4 × v_B
Finally both balls come to rest
$∴$ final linear momentum = 0
By the law of conservation of linear momentum
0.2 × 0.3 + 0.4 × v_B = 0
$∴ v_{B} = - \frac{0 .2 \times 0 .3}{0 .4} = - 0 .15 m / s$

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